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arxiv: 0906.4080 · v4 · pith:HSTM22BEnew · submitted 2009-06-22 · 🧮 math.CO

Uniqueness of electrical currents in a network of finite total resistance

classification 🧮 math.CO
keywords electricalfinitenetworkallowcurrentcurrentsescapeflow
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We show that if the sum of the resistances of an electrical network $N$ is finite, then there is a unique electrical current in $N$ provided we do not allow, in a sense, any flow to escape to infinity.

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